WO2000074261A1 - Commande de puissance dans une boucle fermee d'un systeme de radiocommunication - Google Patents
Commande de puissance dans une boucle fermee d'un systeme de radiocommunication Download PDFInfo
- Publication number
- WO2000074261A1 WO2000074261A1 PCT/EP2000/004620 EP0004620W WO0074261A1 WO 2000074261 A1 WO2000074261 A1 WO 2000074261A1 EP 0004620 W EP0004620 W EP 0004620W WO 0074261 A1 WO0074261 A1 WO 0074261A1
- Authority
- WO
- WIPO (PCT)
- Prior art keywords
- power control
- station
- step size
- control commands
- power
- Prior art date
Links
- 238000004891 communication Methods 0.000 title claims abstract description 31
- 238000000034 method Methods 0.000 claims abstract description 37
- 230000004044 response Effects 0.000 claims abstract description 8
- 230000008569 process Effects 0.000 claims abstract description 5
- 230000005540 biological transmission Effects 0.000 claims description 28
- 230000008859 change Effects 0.000 description 8
- 238000004088 simulation Methods 0.000 description 5
- 238000004422 calculation algorithm Methods 0.000 description 3
- 230000003247 decreasing effect Effects 0.000 description 2
- 230000006872 improvement Effects 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 238000012935 Averaging Methods 0.000 description 1
- 230000009471 action Effects 0.000 description 1
- 230000008901 benefit Effects 0.000 description 1
- 238000004364 calculation method Methods 0.000 description 1
- 230000015556 catabolic process Effects 0.000 description 1
- 238000006731 degradation reaction Methods 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000005259 measurement Methods 0.000 description 1
- 238000010295 mobile communication Methods 0.000 description 1
- 238000001228 spectrum Methods 0.000 description 1
- 238000012546 transfer Methods 0.000 description 1
Classifications
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. Transmission Power Control [TPC] or power classes
- H04W52/04—Transmission power control [TPC]
- H04W52/18—TPC being performed according to specific parameters
- H04W52/22—TPC being performed according to specific parameters taking into account previous information or commands
- H04W52/221—TPC being performed according to specific parameters taking into account previous information or commands using past power control commands
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. Transmission Power Control [TPC] or power classes
- H04W52/04—Transmission power control [TPC]
- H04W52/30—Transmission power control [TPC] using constraints in the total amount of available transmission power
- H04W52/36—Transmission power control [TPC] using constraints in the total amount of available transmission power with a discrete range or set of values, e.g. step size, ramping or offsets
- H04W52/362—Aspects of the step size
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. Transmission Power Control [TPC] or power classes
- H04W52/04—Transmission power control [TPC]
- H04W52/54—Signalisation aspects of the TPC commands, e.g. frame structure
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. Transmission Power Control [TPC] or power classes
- H04W52/04—Transmission power control [TPC]
- H04W52/54—Signalisation aspects of the TPC commands, e.g. frame structure
- H04W52/60—Signalisation aspects of the TPC commands, e.g. frame structure using different transmission rates for TPC commands
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. Transmission Power Control [TPC] or power classes
- H04W52/04—Transmission power control [TPC]
- H04W52/06—TPC algorithms
- H04W52/08—Closed loop power control
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. Transmission Power Control [TPC] or power classes
- H04W52/04—Transmission power control [TPC]
- H04W52/38—TPC being performed in particular situations
- H04W52/42—TPC being performed in particular situations in systems with time, space, frequency or polarisation diversity
Definitions
- the present invention relates to a radio communication system and further relates to primary and secondary stations for use in such a system and to a method of operating such a system. While the present specification describes a system with particular reference to the emerging Universal Mobile Telecommunication System (UMTS), it is to be understood that such techniques are equally applicable to use in other mobile radio systems.
- UMTS Universal Mobile Telecommunication System
- the first is user traffic, for example speech or packet data.
- the second is control information, required to set and monitor various parameters of the transmission channel to enable the BS and MS to exchange the required user traffic.
- one of the functions of the control information is to enable power control.
- Power control of signals transmitted to the BS from a MS is required so that the BS receives signals from different MS at approximately the same power level, while minimising the transmission power required by each MS.
- Power control of signals transmitted by the BS to a MS is required so that the MS receives signals from the BS with a low error rate while minimising transmission power, to reduce interference with other cells and radio systems.
- power control may be operated in a closed or open loop manner. In a closed loop system the MS determines the required changes in the power of transmissions from the BS and signals these changes to the BS, and vice versa.
- the MS measures the received signal from the BS and uses this measurement to determine the required changes in the MS transmission power.
- An example of a combined time and frequency division multiple access system employing power control is the Global System for Mobile communication (GSM), where the transmission power of both BS and MS transmitters is controlled in steps of 2dB.
- GSM Global System for Mobile communication
- CDMA spread spectrum Code Division Multiple Access
- the optimum power control step size can change dynamically it may improve performance if the BS determines an appropriate power control step size for use in uplink transmissions from MS to BS and downlink transmissions from BS to MS, and informs the MS accordingly.
- An example of a system which may use such a method is the UMTS Frequency Division Duplex (FDD) standard, where power control is important because of the use of CDMA techniques.
- FDD Frequency Division Duplex
- improved performance can be obtained by having a small minimum step size, for example 0.25dB, this will significantly increase the cost of a station. However, if a station does not have to implement the minimum step size then it may not be able to implement the requested step size.
- a further problem may occur in a system in which implementation of some power control step sizes by a station is optional.
- a BS may use a plurality of different power control step sizes when changing the downlink transmission power, for example the four step sizes 0.5dB, 1dB, 1.5dB and 2dB.
- the four step sizes 0.5dB, 1dB, 1.5dB and 2dB.
- a MS engages in communication with a plurality of BSs (known as the "active set" of BSs) to determine to which BS, if any, it should transfer. It is therefore necessary to avoid the transmission power of the BSs in the active set from diverging significantly. This is best achieved if the BSs in the active set change their transmission power in similar ways, for example by using similar power step sizes in response to received power control commands.
- An object of the present invention is to enable selection of optimum power control step sizes without requiring all stations to implement the same set of step sizes.
- a radio communication system having a communication channel between a primary station and a secondary station, one of the primary and secondary stations (the transmitting station) having means for transmitting power control commands to the other station (the receiving station) to instruct it to adjust its output transmission power, wherein the receiving station has emulation means for emulating an unsupported power control step size by a combination of power control steps of at least one supported size.
- a secondary station for use in a radio communication system having a communication channel between the secondary station and a primary station, the secondary station having means for adjusting its output transmission power in steps in response to power control commands transmitted by the primary station, wherein emulation means are provided for emulating an unsupported power control step size by a combination of power control steps of at least one supported size.
- a radio communication system which can operate in a frequency division duplex or time division duplex mode comprises a primary station (BS) 100 and a plurality of secondary stations (MS) 110.
- the BS 100 comprises a microcontroller ( ⁇ C) 102, transceiver means (Tx/Rx) 104 connected to radio transmission means 106, power control means (PC) 107 for altering the transmitted power level, and connection means 108 for connection to the PSTN or other suitable network.
- Each MS 110 comprises a microcontroller ( ⁇ C) 112, transceiver means (Tx/Rx) 114 connected to radio transmission means 116, and power control means (PC) 118 for altering the transmitted power level.
- Communication from BS 100 to MS 110 takes place on a downlink channel 122, while communication from MS 110 to BS 100 takes place on an uplink channel 124.
- a UMTS FDD system data is transmitted in 10ms frames each having 15 time slots.
- the BS 100 transmits one power control command (consisting of two bits) per slot, where bits 11 (referred to hereinafter for simplicity as a value of 1) requests the MS 110 to increase its power and bits 00 (referred to hereinafter as 0) requests the MS 110 to decrease its power. Changes in the required power control step size are notified separately over a control channel.
- this behaviour is modified when the MS 110 is requested to implement a power control step size smaller than the smallest of which it is capable. In this situation the MS 110 takes no action unless it receives a series of identical power control commands, thereby emulating the performance of a MS 110 having more precise power control.
- the MS 110 processes power control commands in pairs and only changes its output power if both commands are equal. Hence if the received commands are 11 the power is increased, if they are 00 the power is decreased, and if they are either 10 or 01 the power is not changed. It may be advantageous to align the comparison with the transmission of frames, hence to combine the power control commands transmitted in slots 1 and 2 of a particular frame, then the commands transmitted in slots 3 and 4, and so on.
- the MS 110 processes power control commands four at a time, and only changes its output power if all four commands are equal. Hence the power is increased if the received commands are 1111 , decreased if they are 0000, and unchanged otherwise. Again it may be advantageous to align the comparison with the frame transmission, combining the commands transmitted in slots 1 to 4 of a particular frame, then the commands transmitted in slots 5 to 8 and so on. Combining the commands received in three or five slots is particularly advantageous in the UMTS embodiment being considered because it maintains alignment with a frame of 15 slots.
- the method is not restricted to such a system.
- the minimum step size implemented by the MS 110 is S and the step size requested by the BS 100 is R .
- Figure 2 illustrates a method of emulating smaller power control steps than the minimum of the MS 110.
- the method starts, at 202, with the MS 110 determining G , the number of commands to be combined in a group and setting a received power control command counter i to zero.
- the MS 110 receives a power control command and increments the counter i .
- the value of / is compared with G Xi i is less than G then the received command is stored and the MS 110 waits to receive the next command. Otherwise the required number of power control commands have been received and the MS 110 determines, at 208, if it should adjust its power based on the received power control commands. Once this has been done the counter is reset to zero (if i is equal to G ) or to one (if i is greater than G , which will happen if G is not integer) and the MS 110 waits to receive the next power control command.
- the MS 110 instead of combining power control commands in groups of G the MS 110 keeps a running total of the requested power change and makes a change once the total requested power change reaches its minimum step size. For example, if the requested step size is 0.25dB and the minimum step size is 1dB the sequence of received commands 11010111 would result in the power being increased by 1dB. The MS 110 then subtracts the step actually implemented from the running total of the requested power change.
- such a scheme is more complex to implement (since it requires maintaining a running total of the requested power change) and it appears to provide only a minimal improvement to the performance of the method.
- the MS 110 uses a soft decision method in keeping a running total of the requested power change, instead of taking a hard decision on each individual power control command.
- Each power control command is weighted by a function of the amplitude of the received signal for that command, as a measure of the likelihood of the MS 110 having correctly interpreted the command, before being added to the running sum.
- the sequence 11010111011 might, once weighted, correspond to the sequence of requested power changes 0.8 0.3 -0.3 0.4 -0.1 0.5 0.9 0.8 -0.4 0.7 0.5 (in units of 0.25dB).
- This sequence has a running sum of 4.1 which would trigger the MS 110 to execute an upwards step of 1dB and to reduce the running sum to 0.1.
- This variation should provide a slight improvement in the performance of the method.
- the channel is modelled as a simple ⁇ -path Rayleigh channel.
- the first simulation relates to a rapidly changing channel, with a MS 110 moving at 300km per hour in a single path Rayleigh channel with an error rate for the power control commands of 0.01.
- Figure 3 is a graph of the received E ⁇ /No in dB required for an uplink bit error rate of 0.01 against the power control step size used in dB.
- the solid line indicates results for a MS 110 having a minimum power control step size of 0.25dB or less, while the dashed line indicates results for a MS 110 having a minimum step size of 1dB which combines power control bits in groups of two or four to emulate 0.5dB and 0.25 dB power control step sizes respectively.
- Emulation of 0.25dB and 0.5dB steps results in a small implementation loss of only about 0.05dB, compared to about 0.6dB if no emulation is performed, demonstrating the usefulness of the emulation method.
- Increasing the error rate of the power control commands to 0.1 produces a general degradation of about 0.2dB in the received E ⁇ /N 0 , but the performance of the MS 110 with emulated small steps remains close to that of the MS 110 with direct implementation of small steps.
- the second simulation relates to a slowly changing channel, with a MS 110 moving at 1km per hour in a six path Rayleigh channel with an error rate for the power control commands of 0.01.
- Figure 4 is a graph of received E ⁇ /N 0 in dB required for a uplink bit error rate of 0.01 against the power control step size used in dB. The lines in the graph are identified in the same way as for Figure 3.
- the value of G may be set to a value other than SIR if it is considered to be advantageous for reasons such as reducing the effect of errors in the interpretation of the transmitted power control commands (for example by averaging over a greater time period). In some circumstances a MS 110 might therefore choose to use a step size larger than the minimum which it is capable of implementing.
- a variation of the method described above can be employed for the emulation of unsupported power control step sizes greater than the minimum step size implemented by a station.
- the BS 100 may use one of four step sizes when adjusting the power of the downlink transmission 122, namely 0.5dB, 1dB, 1.5dB and 2dB, of which only 1dB is mandatory.
- the BS 100 considers the received power control commands in pairs. For use during soft handover it is advantageous for these groups to be aligned to either an odd- or even- numbered frame boundary, since a frame includes an odd number (15) of timeslots.
- the definition of an even or odd frame can be determined from a connection frame number or system frame number.
- the BS 100 In the first timeslot of each pair the BS 100 always implements a power step of 1dB in the direction given by the sign of the received power control command, where the sign is considered to be negative if the received command is 0 and positive if the received command is 1.
- the BS 100 implements a power step of 2dB if the received power control command is of the same sign as that received in the first slot, or a power step of magnitude 1dB if the signs are opposite. If a BS 100 only implements 1dB steps, more than one 1dB step could be performed in a single timeslot if a larger step size is required by the emulation algorithm.
- the resultant power changes are:
- the above method can be generalised to handle the case of emulating step sizes equal to ( ⁇ + 0.5)dB where the BS 100 can implement steps of x dB and (x + l)dB by having the power step in the first timeslot of dB and the power step in the second timeslot of x dB or (x + l)dB as appropriate.
- S,_ + Pa
- R is equal to -1 when the received command has a value of 0 and is equal to +1 when the received command has a value of 1.
- S,_ is initialised to zero in the first timeslot, and thereafter is equal to the value of S, in the previous timeslot.
- the size of the power step implemented by the BS 100 is x ⁇ dB. If S, > 0.5 , the size of the power step implemented by the BS 100 is (x + l) ⁇ dB, and the BS 100 subtracts R from S, .
- the BS 100 considers received power control commands in groups of b . For the soft handover case it is preferred that the groups are aligned to an odd- or even-numbered frame boundary, for the same reasons as given above for the basic emulation algorithm.
- the methods described above may also be further generalised to include the emulation of any step size intermediate between two step sizes supported by a BS 100 or MS 110.
- any reference to emulation of step sizes by a BS 100 or MS 110 any reference to emulation of step sizes by a
- MS 110 for controlling the power of the uplink transmission 124 could equally well be employed by a BS 100 for controlling the power of the downlink transmission 122, and vice versa.
- the detailed description above relates to a system where power control commands are transmitted separately from instructions to a station to set its power control step size.
- the present invention is suited for use in a range of other systems.
- it can be used in any system in which there is a variable power control step size and in which a station is instructed to use a particular value for this step. It can also be used in systems in which the power control step size is fixed, or at least fixed while a power control step size emulation method is being used.
- the particular step size to be used by a station could be determined by the network infrastructure, the BS 100, or the MS 110. It could also be determined by negotiation between any of these entities.
- the present invention is applicable to a range of radio communication systems, for example UMTS.
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- Engineering & Computer Science (AREA)
- Computer Networks & Wireless Communication (AREA)
- Signal Processing (AREA)
- Mobile Radio Communication Systems (AREA)
Abstract
Priority Applications (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
DE60045236T DE60045236D1 (de) | 1999-05-26 | 2000-05-19 | Nem funkkommunikationssystem |
EP00938666A EP1101293B1 (fr) | 1999-05-26 | 2000-05-19 | Commande de puissance dans une boucle fermee d'un systeme de radiocommunication |
JP2001500455A JP3960799B2 (ja) | 1999-05-26 | 2000-05-19 | 無線通信システムにおける閉ループ電力制御 |
Applications Claiming Priority (6)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
GBGB9912289.7A GB9912289D0 (en) | 1999-05-26 | 1999-05-26 | Radio communication system |
GB9912289.7 | 1999-05-26 | ||
GBGB9915571.5A GB9915571D0 (en) | 1999-05-26 | 1999-07-02 | Radio communication system |
GB9915571.5 | 1999-07-02 | ||
GB0011007.2 | 2000-05-09 | ||
GBGB0011007.2A GB0011007D0 (en) | 1999-05-26 | 2000-05-09 | Radio communication sytem |
Publications (1)
Publication Number | Publication Date |
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WO2000074261A1 true WO2000074261A1 (fr) | 2000-12-07 |
Family
ID=27255699
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
PCT/EP2000/004620 WO2000074261A1 (fr) | 1999-05-26 | 2000-05-19 | Commande de puissance dans une boucle fermee d'un systeme de radiocommunication |
Country Status (6)
Country | Link |
---|---|
US (2) | US6556838B1 (fr) |
EP (1) | EP1101293B1 (fr) |
JP (1) | JP3960799B2 (fr) |
CN (1) | CN1139199C (fr) |
TW (1) | TW493323B (fr) |
WO (1) | WO2000074261A1 (fr) |
Cited By (8)
Publication number | Priority date | Publication date | Assignee | Title |
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EP1180854A1 (fr) * | 2000-08-18 | 2002-02-20 | Lucent Technologies Inc. | Commande de la puissance avec pas adaptatifs basés sur des mesures de paramètres de canal |
WO2003036823A1 (fr) * | 2001-10-20 | 2003-05-01 | Electronics And Telecommunications Research Institute | Appareil de reglage de puissance en boucle fermee pour systeme mobile de telecommunication par satellite et procede correspondant |
EP1349296A1 (fr) * | 2002-03-28 | 2003-10-01 | Valtion Teknillinen Tutkimuskeskus | Procédé de régulation de puissance et système de télécommunications |
WO2004010605A1 (fr) * | 2002-07-23 | 2004-01-29 | Qualcomm, Incorporated | Reponse a des instructions de reglage de puissance mesuree sur la base d'un historique |
EP1235367A3 (fr) * | 2001-02-22 | 2004-05-19 | Lg Electronics Inc. | Méthode de contrôle des instants d'émission dans un schéma de transmission synchrone de la liaison montante |
GB2401734A (en) * | 2003-05-14 | 2004-11-17 | Ubinetics Ltd | Transmission Power Steps |
WO2007126373A2 (fr) | 2006-04-27 | 2007-11-08 | Telefonaktiebolaget Lm Ericsson (Publ) | Procédé et système de communication |
WO2014123996A1 (fr) * | 2013-02-10 | 2014-08-14 | Qualcomm Incorporated | Systèmes, dispositifs et procédés de commande de puissance d'émission |
Families Citing this family (19)
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US5574747A (en) * | 1995-01-04 | 1996-11-12 | Interdigital Technology Corporation | Spread spectrum adaptive power control system and method |
EP1101293B1 (fr) * | 1999-05-26 | 2010-11-17 | Koninklijke Philips Electronics N.V. | Commande de puissance dans une boucle fermee d'un systeme de radiocommunication |
GB9927995D0 (en) * | 1999-11-27 | 2000-01-26 | Koninkl Philips Electronics Nv | Method for conformance testing of radio communication equipment |
GB0008020D0 (en) * | 2000-03-31 | 2000-05-17 | Koninkl Philips Electronics Nv | Radio comunication system |
FR2810177B1 (fr) * | 2000-06-13 | 2005-05-06 | Cit Alcatel | Procede pour le controle de puissance d'emission dans un systeme de radiocommunications mobiles |
JP4048405B2 (ja) * | 2000-12-05 | 2008-02-20 | 日本電気株式会社 | 送信電力制御方式及びその方法並びにcdma移動体端末 |
US7006844B2 (en) * | 2002-02-19 | 2006-02-28 | Nokia Corporation | Adaptive power control for multicast transmission |
JP4423836B2 (ja) * | 2002-04-03 | 2010-03-03 | 日本電気株式会社 | セルラシステム、通信制御方法及び移動局 |
CN101312598B (zh) * | 2002-04-03 | 2013-07-24 | 日本电气株式会社 | 蜂窝系统、基站及移动台、以及通信控制方法 |
WO2003096569A1 (fr) * | 2002-05-09 | 2003-11-20 | Nokia Corporation | Signalisation de commande a regulation de puissance a plusieurs niveaux |
CN101505539B (zh) * | 2002-12-04 | 2015-09-09 | 美商内数位科技公司 | 信道品质指示器的可靠性侦测及外回路功率控制的应用 |
US20050221816A1 (en) * | 2004-03-31 | 2005-10-06 | Hall Thomas M | System for and method of operating a radio station in a broadcast network |
EP1775977A4 (fr) * | 2004-08-05 | 2011-04-06 | Mitsubishi Electric Corp | Station de base, appareil de terminal de communication mobile, et procédé de sélection de cellule primaire |
WO2006117663A2 (fr) | 2005-05-04 | 2006-11-09 | Nokia Corporation | Procede, dispositif et programme informatique permettant de signaler des tailles d'etapes de regulation de puissance configurables pour un acces par paquets en voie ascendante a grande vitesse (hsupa) |
CN100373806C (zh) * | 2005-11-02 | 2008-03-05 | 中兴通讯股份有限公司 | 高速共享控制信道和高速共享信息信道功率控制实现方法 |
US7986959B2 (en) | 2007-02-14 | 2011-07-26 | Qualcomm Incorporated | Preamble based uplink power control for LTE |
US8676206B2 (en) * | 2010-08-13 | 2014-03-18 | Blackberry Limited | Handover latency reduction |
CN108882355B (zh) * | 2013-12-17 | 2021-06-01 | 华为技术有限公司 | 上行功率同步方法,接入网设备和终端 |
US20180192366A1 (en) * | 2015-07-22 | 2018-07-05 | Telefonaktiebolaget Lm Ericsson (Publ) | Inter-cell power coordination for energy efficient cellular network |
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- 2000-05-19 WO PCT/EP2000/004620 patent/WO2000074261A1/fr active IP Right Grant
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Cited By (19)
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EP1180854A1 (fr) * | 2000-08-18 | 2002-02-20 | Lucent Technologies Inc. | Commande de la puissance avec pas adaptatifs basés sur des mesures de paramètres de canal |
CN1294772C (zh) * | 2001-02-22 | 2007-01-10 | Lg电子株式会社 | 为上行链路同步传输方案控制定时的方法 |
US7190691B2 (en) | 2001-02-22 | 2007-03-13 | Lg Electronics Inc. | Method of controlling timing for uplink synchronous transmission scheme |
EP1235367A3 (fr) * | 2001-02-22 | 2004-05-19 | Lg Electronics Inc. | Méthode de contrôle des instants d'émission dans un schéma de transmission synchrone de la liaison montante |
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Also Published As
Publication number | Publication date |
---|---|
US6556838B1 (en) | 2003-04-29 |
CN1139199C (zh) | 2004-02-18 |
TW493323B (en) | 2002-07-01 |
EP1101293B1 (fr) | 2010-11-17 |
CN1318230A (zh) | 2001-10-17 |
JP2003501867A (ja) | 2003-01-14 |
US6826412B2 (en) | 2004-11-30 |
EP1101293A1 (fr) | 2001-05-23 |
US20030195012A1 (en) | 2003-10-16 |
JP3960799B2 (ja) | 2007-08-15 |
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